An equation that models the height of an object dropped from the top of a building is y= -16x^2 + 30 where x is time in sec. Another equation, y= 14, models the path of a flying bird in the air. Write a system of equations, and then solve to find how many seconds the object is in the air before it crosses the birds path

Answers

Answer 1

Answer:

1 second

Step-by-step explanation:

The 2 equations are

y = - 16x² + 30 → (1)

y = 14 → (2)

Substitute y = 14 into (1)

14 = - 16x² + 30 ( subtract 30 from both sides )

- 16 = - 16x² ( divide both sides by - 16 )

1 = x² ( take the square root of both sides )

x = [tex]\sqrt{1}[/tex] = 1

The object is in the air for 1 sec before it crosses the bird's path


Related Questions

Between which x-values and y-values does the cluster lie?

Answers

Answer:

Here is the picture

Step-by-step explanation:

The number lies between x-values 4 and 6 and y-values 6 and 9.

What are coordinates?

Coordinates are a pair of integers (Cartesian coordinates), or occasionally a letter and a number, that identify a certain place on a grid, often referred to as a coordinate plane.

Given that scatter plot lies in quadrant 1 of a coordinate plane, and the 14 points are plotted in the first quadrant.

We need to find the range of x and y values for this scatter plot.

The x values of the 14 points are given as;

2, 4, 4,1, 5, 5, 5, 5, 6, 6, 7, 8, 9.5, 9.5

The y values of the 14 points are given as;

5, 6, 9, 7.2, 6, 6.8, 8, 9, 7, 8.5, 10, 10.5, 9.5, 11.4

We can conclude that that most of the points are clustered between x-values 4 and 6 and y-values 6 and 9.

Therefore, the points are clustered between the x-values 4 and 6 and y-values 6 and 9.

To learn more about the coordinates;

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The complete question is

Select the correct answer. Scatter plot in quadrant 1 of a coordinate plane. 14 points are plotted at (2, 5), (4, 6), (4, 9), (4.1, 7.2), (5, 6), (5, 6.8), (5, 8), (5, 9), (6, 7), (6, 8.5), (7, 10), (8, 10.5), (9.5, 9.5), and (9.5, 11.4). Between which x-values and y-values does the cluster in this scatter plot lie? A. It lies between x-values 2 and 4 and y-values 4 and 6. B. It lies between x-values 4 and 6 and y-values 9 and 10. C. It lies between x-values 4 and 6 and y-values 6 and 9. D. It lies between x-values 7 and 9 and y-values 10 and 11.

is 3/8 greater that 1/2

Answers

Answer:

no

Step-by-step explanation:

Answer:

so the answer is no

Step-by-step explanation:

To get the answer, we first convert each fraction into decimal numbers. We do this by dividing the numerator by the denominator for each fraction as illustrated below:

3/8 = 0.375

1/2 = 0.5

Then, we compare the two decimal numbers to get the answer.

0.375 is not greater than 0.5.

Therefore, 3/8 is not greater than 1/2 and the answer to the question "Is 3/8 greater than 1/2?" is no.

Leta has $45 in her account in May. How much money does she have in her account in August

Answers

45-15= 30-28= 2+18=20
Is that what the question was asking??

HELP PLEASE!

Trish is shopping for a new vacuum online. The
reviews for the vacuum she wants show that 104
people gave the product 5-stars. If this number
represents 65% of the reviews left for the product,
how many total reviews were left for the product?

67.6
77
160
184

Answers

Answer: 160

Step-by-step explanation:

Based on the information given in the question, let the total reviews left for the product be represented by x.

Therefore, 65% of x = 104

65% × x = 104

0.65 × x = 104

0.65x = 104

x = 104/0.65

x = 160

Therefore, 160 reviews were left for the product.

Here is a triangle with some triangles inside it.​

Answers

Step-by-step explanation:

it's just a guess but the other side of the triangle is 137 degrees

William went to play basketball. He wondered what the area of
the court was. He measured the length and width and found
that they were 28m and 15 m respectively. What is the area of
the court in cm"?

Answers

42,000 cm since it’s 28*15 then you just convert it to cm.

anybody idc helpi need help with math find the surface area of the above solid

Answers

Answer:

a

Step-by-step explanation:

Answer:

b

Step-by-step explanation:

Plz help me well mark brainliest if correct.........?

Answers

Answer:

The answer is B

Step-by-step explanation:

8 times 12 = 96

2L + 2W = 40

2(8) + 2(12) = 40

because

16 + 24 = 40

Hope this helps!

I really hope you guys will help me

Answers

Answer:

I think its

ai. fx-f3

ii. 5gx

Find the value of x.
B
X+2
3
E
2
X
С
A
x = [?]

Answers

Answer:

answer is given in up paper. where ans is -1/2

Is the equation a linear function?
y = -x + 3

Answers

Answer:

x=3

Step-by-step explanation:

y=-x+3

0=-x+3

x=3

Simplify.

4^3•4^-6

A. 1/4^3
B. 1/4^9
C. 1/4^18
D. 4^3

Answers

Answer:

A

Step-by-step explanation:

This can be rearranged as 4^3 * 1/(4^6)

or (4^3)/(4^6)

This can be changed to:

(4^3)/((4^3)*(4^3)

Which is equal to 1/(4^3)

or

4^(-3)

there's a width of 8 in., a length of 20 in., and a height of 12 in.
a) what is the longest poster you could fit in the box? express your answer to the nearest tenth of an inch.
b) explain why you can fit only one maximum-length poster in the box, but you can fit multiple 21.5-inch posters in the same box.

Answers

Answer:

a.

Approximately [tex]24.7\; \rm in[/tex].

b.

While there are three diagonals in a box (a rectangular prism,) all three diagonals goes through the same point- the centroid of this box.  

For a maximum-length poster to fit in this box, it would have to be on one of the main diagonals of this box. Hence, any maximum-length poster that fits in this box would go through the centroid of this box.

It's not possible to force more than one posters to go through the same point (i.e., the centroid) in space. Hence, it would not be possible to fit a second maximum-length poster into this box.

This argument does not apply to  [tex]21.5\; \rm in[/tex] posters. These posters are shorter than the diagonal of this box; they could fit inside the box without having to go through a particular point in space.

Step-by-step explanation:

The longest poster that could be fit into this box (a rectangular prism) would be as long as the longest line segment in this box. That line segment would be one of the three diagonals of this box.

Apply the Pythagorean theorem twice to find the length of that diagonal.

Start by finding calculating the diagonal of the base of this box. The base of this box is a rectangle with width [tex]8\; \rm in[/tex] and length [tex]10\; \rm in[/tex]. The length of its diagonal would be [tex]\sqrt{8^2 + 10^2}[/tex] inches.

Combine that with the height of this box to find the length of the diagonal of this box.

[tex]\begin{aligned}& \sqrt{{\left(\sqrt{8^2 + 10^2}\right)}^2 + 12^2 \\ &= \sqrt{8^2 + 10^2 + 12^2} \\ &\approx 24.7 \end{aligned}[/tex].

y = 3x + 5
2y = 4x + 24

Answers

Step-by-step explanation:

what do you need explain graphing them

what value do you give rif the
In the monthly payment formula M =
Pr(1 + r)"
(1 + r)" - 1
interest rate is 8.9%?
A. 0.74
B. 0.74
C. 0.0074
D. 0.0089

Answers

Answer:

c

Step-by-step explanation:

<3

The monthly rate of interest is 0.0074. Therefore, option C is the correct answer.

What is the rate of interest?

An interest rate tells you how high the cost of borrowing is, or high the rewards are for saving. So, if you're a borrower, the interest rate is the amount you are charged for borrowing money, shown as a percentage of the total amount of the loan.

The given rate of interest is 8.9%.

The monthly payment formula is M = Pr(1+ r)ⁿ/(1+ r)ⁿ - 1

Here, rate of interest

= 8.9%/12

= 0.089/12

= 0.0074

Therefore, option C is the correct answer.

To learn more about the rate of interest visit:

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What is the mean ? 50, 55, 58, 58, 90, 92, 99

Answers

sum of observations

mean =..........................

no. of observations

50+55+58+90+58+92+99 502

....................................... = .........= 71.7

7 7

awnser is 71.7

hope this helped

the circumference of a garden is 91.06 feet. what is the diameter of the garden?

Answers

Answer:

radius = 14.5 feet

Step-by-step explanation:

91.06 / 3.14 = diameter = 29

radius = 29/2 = 14.5 feet

i will give brainliest

Five friends take a maths test
Adam, Brandon, Chen together together scored 200 marks
Brandon, Chen and Damion together scored 215
Chen, Damion, Erica together scored 224
Damion and Erica scored more than Chen
The five of them together scored 350 marks

What are their individual scores

Answers

Answer:

[tex]Adam = 60[/tex]

[tex]Brandon = 66[/tex]

[tex]Chen = 74[/tex]

[tex]Damion = 75[/tex]

[tex]Erica = 75[/tex]

Step-by-step explanation:

Given

Represent each friend with the first letter of their name

So:

[tex]A + B + C =200[/tex]

[tex]B + C + D = 215[/tex]

[tex]C + D +E= 224[/tex]

[tex]A + B + C + D + E = 350[/tex]

[tex]D , E > C[/tex]

Substitute: [tex]A + B + C =200[/tex] in [tex]A + B + C + D + E = 350[/tex]

[tex]200 + D + E = 350[/tex]

Collect like terms

[tex]D + E = 350-200[/tex]

[tex]D + E = 150[/tex]

Make D + E the subject in [tex]C + D +E= 224[/tex]

[tex]D + E = 224 - C[/tex]

Substitute [tex]D + E = 224 - C[/tex] in [tex]D + E = 150[/tex]

[tex]224 - C = 150[/tex]

Collect like terms

[tex]C = 224 - 150[/tex]

[tex]C = 74[/tex]

Substitute [tex]C = 74[/tex] in [tex]A + B + C =200[/tex] and [tex]B + C + D = 215[/tex]

[tex]A + B + 74 = 200[/tex]

[tex]A + B =- 74 + 200[/tex]

[tex]A + B =126[/tex]

[tex]B + 74 + D = 215[/tex]

[tex]B + D = -74 + 215[/tex]

[tex]B + D = 141[/tex]

So, we have:

[tex]A + B =126[/tex]

[tex]B + D = 141[/tex]

[tex]D + E = 150[/tex]

We have: [tex]D , E > C[/tex]

i.e.

[tex]D , E > 74[/tex] and [tex]D + E = 150[/tex]

For [tex]D , E > 74[/tex] and [tex]D + E = 150[/tex] to be true,

[tex]D = E = 75[/tex]

i.e.

[tex]75 + 75 = 150[/tex]

So, we have:

[tex]D = 75[/tex]

[tex]E = 75[/tex]

[tex]B + D = 141[/tex]

[tex]B + 75 = 141[/tex]

[tex]B = 141 - 75[/tex]

[tex]B = 66[/tex]

[tex]A + B =126[/tex]

[tex]A + 66 = 126[/tex]

[tex]A = 126 - 66[/tex]

[tex]A = 60[/tex]

HELP ASAP!! jjwjwhwjabagajsbs

Answers

Answer: 90% of people marry there 7th grade love. since u have read this, u will be told good news tonight. if u don't pass this on nine comments your worst week starts now this isn't fake. apparently if u copy and paste this on ten comments in the next ten minutes you will have the best day of your life tomorrow. you will either get kissed or asked out in the next 53 minutes someone will say i love you.

Step-by-step explanation:

Degree and Radian Measures

What is the radian equivalent of 90°?

a. π/4
b. π/3
c. π/2
d. π/5

Please select the the best answer from the choices provided

Answers

Answer:

C. π/2

Step-by-step explanation:

I calculated it logically

Mr. Rodriguez bought 6 liters of diet soda. His two sons will drink the same amount each day and finish the diet soda in 4 days. Which expression shows how much they will drink each day? B​

Answers

Answer:

6÷3÷4= 0.75

Step-by-step explanation:

Each son will drink 0.75 liters of soda everyday to finish 6 liters of the soda in 4 days

the answer is 0.75 i hope that helps

have a good day

PLEASE HELP I DONT KNOW

Answers

Answer:

28 in.

Step-by-step explanation:

Since the right portion of the figure is a square, the unlabeled bottom must be the same as the top or 6 in., therefore just add up the pieces starting on the right side. (5 + 6 + 2 + 5 + 4 + 6 = 28)

Plz help this is due today NO LINKS OR GROSS PICTURES OR I Will REPORT And please show work

Answers

Answer:

the volume is 600

Step-by-step explanation:

15*8*5=600

v=w*h*l

You deposit $800 in an account that pays 3.6% annual interest compounded quarterly. When does your balance first exceed $1200?

Answers

Answer:

It would take 4 years. The formula for continuously compounded interest is: where P is the principal, r is the interest rate as a decimal number, and t is the number of years.

Step-by-step explanation:

You deposit $800 in an account that pays 3.6% annual interest compounded quarterly. after 11 years your balance first exceed $1200.

How to find the compound interest?

If n is the number of times the interested is compounded each year, and 'r' is the rate of compound interest annually, then the final amount after 't' years would be:

[tex]a = p(1 + \dfrac{r}{n})^{nt}[/tex]

You deposit $800 in an account that pays 3.6% annual interest compounded quarterly.

[tex]a = p(1 + \dfrac{r}{n})^{nt}[/tex]

[tex]1200 = 800(1 + \dfrac{3.6}{4})^{4t}\\\\300 = (1 + 0.9)^{4t}\\\\t = 11.4[/tex]

Learn more about compound interest here:

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what is the value of the expression ? 11.263 ÷ 11.21​

Answers

Answer:

1.004728

Step-by-step explanation:

Mark as brainllest

You are the sales manager for a large condominium development in Sacramento, California. You are interested in determining how much to price your units for and have collected information on 87 equivalent condominiums that have sold in the past two months in Sacramento. After having sold 21 of your condominium units (out of 150), you are interested in evaluating whether your units are selling for significantly more than the other 87 Sacramento condos. In order to determine if your condos are, on average, selling for more than the other 87 you would use a: Question 8 options: A one-sided, one-sample t-test A two-sided, one-sample t-test A one-sided, two-sample t-test A two-sided, two-sample t-test

Answers

Answer:

A one-sided, two-sample t-test

Step-by-step explanation:

In the context, the values of the population standard deviations are not provided, therefore we have to use the two sample t tests for the difference between the two population means. This claim for the hypothesis or the alternative hypothesis is given as the average selling price is more for the first group of the sample size of 21 as compared to the other group of the sample size of 87. Therefore, we perform an one sided test or the upper tailed test.

I’m need the answer pls

Answers

Answer:

B. 16 students

Step-by-step explanation:

Just count all of the dots.

Hope this helps

Brainliest would be appreciated

Answer:b

Step-by-step explanation: well 7+5+3+1= 16

brainliest for answer good trade

Answers

Answer:

9/22

Step-by-step explanation:

= 1 /2 − 1 /11

= 1 /2 + −1 /11

= 11 /22 + −2 /22

= 11+−2 /22

= 9 /22

(Decimal: 0.409091)

Answer:

9/22

Step-by-step explanation:

multiply 1 by 11, and get 11

multiply 1 by 2, and get 2.

Next we give both terms new denominators -- 2 × 11 = 22

11 − 2 = 9

A b c or d?? Lmk..Brainly

Answers

Answer:

28.3 (b)

Step-by-step explanation:

To solve circumference, you will need to use the equation C = 2 *pi* r

for this, we will use 3.14 for pi and the radius is 4.5 so this is how we need to solve it

C= 2 pi (4.5)             Solve 2*4.5

C= 9 pi                     Now we input 3.14 for pi and multiply

C= 9(3.14)

C= 28.26                  Now we round to the nearest tenth to get

C=28.3

Four less than two times a number is seven times the sum of that number and 8. Which equation
could be used to solve this problem?

1. 4- 2n + 7n = 8
2. 2n - 4 = 7n + 8
3. 2n - 4 = 7(n + 8)
4. 4 - 2n = 7(n + 8)​

Answers

9514 1404 393

Answer:

  3.  2n - 4 = 7(n + 8)

Step-by-step explanation:

Two times a number is 2n. Four less than 2n is (2n-4). The sum of a number and 8 is (n+8). Seven times that sum is 7(n+8). The statement says these values are equal:

  2n -4 = 7(n +8)

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